Geometric Mean and Pythagorean Theorem Quiz

What is the geometric mean of 4 and 16?

• 8

• 10

• 12

• 14

• 16

If the geometric mean of two numbers is 6, and one of the numbers is 3, what is the other number?

• 9

• 12

• 18

• 24

• 36

Find the geometric mean of 5 and 45.

• 10

• 15

• 20

• 25

• 30

In a right triangle, the length of the altitude to the hypotenuse is the geometric mean of the lengths of the segments of the hypotenuse. If the segments are 4 and 9, what is the length of the altitude?

• 5

• 6

• 7

• 8

• 9

According to the Geometric Mean Leg Theorem, if one leg of a right triangle is 8 and the hypotenuse is 10, what is the length of the segment of the hypotenuse adjacent to this leg?

• 4

• 5

• 6

• 7

• 8

In a right triangle, the altitude to the hypotenuse divides the hypotenuse into segments of lengths 3 and 12. What is the length of the altitude?

• 4

• 5

• 6

• 7

• 8

What is the length of the hypotenuse in a right triangle with legs of lengths 6 and 8?

• 10

• 12

• 14

• 16

• 18

In a right triangle, if one leg is 9 and the hypotenuse is 15, what is the length of the other leg?

• 10

• 11

• 12

• 13

• 14

A right triangle has a hypotenuse of length 13 and one leg of length 5. What is the length of the other leg?

• 10

• 11

• 12

• 13

• 14

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

• Yes

• No

• Cannot be determined

• Only if the angle between the sides of lengths 7 and 24 is a right angle

• Only if the angle between the sides of lengths 24 and 25 is a right angle